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Finding the Third Proportional to 25,733 and 36,034

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Solution

The third proportional to 25,733 and 36,034 is: 50,458.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,733 : 36,034 = 36,034 : x
  2. Step 2: Convert to fraction form
    25,733/36,034 = 36,034/x
  3. Step 3: Cross multiply
    25,733x = 36,034 × 36,034
  4. Step 4: Simplify right side
    25,733x = 1,298,449,156
  5. Step 5: Solve for x
    x = 1,298,449,156/25,733
  6. Step 6: Final answer
    x = 50,458.52

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.